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Finding the Third Proportional to 3,640,530,069,545 and 7,921,940,083,870

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Solution

The third proportional to 3,640,530,069,545 and 7,921,940,083,870 is: 17,238,460,744,335.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640,530,069,545 : 7,921,940,083,870 = 7,921,940,083,870 : x
  2. Step 2: Convert to fraction form
    3,640,530,069,545/7,921,940,083,870 = 7,921,940,083,870/x
  3. Step 3: Cross multiply
    3,640,530,069,545x = 7,921,940,083,870 × 7,921,940,083,870
  4. Step 4: Simplify right side
    3,640,530,069,545x = 62,757,134,692,426,226,849,546,240
  5. Step 5: Solve for x
    x = 62,757,134,692,426,226,849,546,240/3,640,530,069,545
  6. Step 6: Final answer
    x = 17,238,460,744,335.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.